Singular limit of a degenerate chemotaxis-Fisher equation
Dkhil, Fathi
Hiroshima Math. J., Tome 34 (2004) no. 1, p. 101-115 / Harvested from Project Euclid
We study the singular limit of a degenerate nonlinear diffusion equation which appears in a chemotaxis-growth model. We prove the convergence to the solution of a free boundary problem where the motion equation of the interface involve the gradient of the chemotactic concentration and the critical velocity of a degenerate Fisher equation.
Publié le : 2004-03-14
Classification:  35K57,  35K50,  35K65,  92C17
@article{1150998073,
     author = {Dkhil, Fathi},
     title = {Singular limit of a degenerate chemotaxis-Fisher equation},
     journal = {Hiroshima Math. J.},
     volume = {34},
     number = {1},
     year = {2004},
     pages = { 101-115},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1150998073}
}
Dkhil, Fathi. Singular limit of a degenerate chemotaxis-Fisher equation. Hiroshima Math. J., Tome 34 (2004) no. 1, pp.  101-115. http://gdmltest.u-ga.fr/item/1150998073/